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Basic ProbabilityCambridge IGCSE Maths: Flashcards

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What is the probability scale range?

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What is the probability scale range?
From 0 (impossible) to 1 (certain)
State the formula for the probability of a single event with equally likely outcomes.
P(event)=favourable outcomestotal outcomesP(\text{event}) = \frac{\text{favourable outcomes}}{\text{total outcomes}}
A die is rolled once. What is P(rolling an even number)P(\text{rolling an even number})?
36=12\frac{3}{6} = \frac{1}{2}
State the relationship between P(A)P(A) and P(A′)P(A').
P(A′)=1−P(A)P(A') = 1 - P(A)
If P(win)=0.65P(\text{win}) = 0.65, find P(not win)P(\text{not win}).
1−0.65=0.351 - 0.65 = 0.35
Define 'fair' in a probability context.
Every possible outcome is equally likely to occur
Define 'biased' in a probability context.
Outcomes are not equally likely — some are more likely than others
Define 'random' in a probability context.
An outcome determined by chance, which cannot be predicted with certainty in advance
What must all probabilities in a full sample space add up to?
1
What forms can a probability be given in?
A fraction, decimal or percentage
What does P(A)P(A) mean in probability notation?
The probability that event AA occurs
What does P(A′)P(A') mean in probability notation?
The probability that event AA does NOT occur (the complement of AA)
A spinner has probability 0.4 of landing on red. What is the probability of NOT landing on red?
0.6
Why can a probability never be greater than 1 or less than 0?
Because it represents a proportion of all possible outcomes, which cannot exceed the whole or be negative